Definition:Midpoint-Convex

From ProofWiki
Jump to navigation Jump to search

Definition

Let $f$ be a real function defined on a real interval $I$.


$f$ is midpoint-convex if and only if:

$\forall x, y \in I: \map f {\dfrac {x + y} 2} \le \dfrac {\map f x + \map f y} 2$


Also known as

This can also be rendered without a hyphen: midpoint convex.


Also see


Sources